#include <bits/stdc++.h>
#define int long long
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define pii std::pair<int,int>
#define mkp std::make_pair
#define min(a,b) ((a)<(b)?(a):(b))
#define max(a,b) ((a)>(b)?(a):(b))

inline void smax(int &a, int b) {
	a = max(a, b);
}
inline void smin(int &a, int b) {
	a = min(a, b);
}

signed main() {
	std::ios::sync_with_stdio(false);
	std::cin.tie(0);
	std::cout.tie(0);



	return 0;
}